Open Neighborhood Seminar: Runge’s method for solving diophantine equations
SEMINARS, OPEN NEIGHBORHOOD
Bjorn Poonen - MIT
It has been proved that there is no general algorithm for finding all the integer solutions to a multivariable polynomial equation. Nevertheless, there are some methods that succeed if the equation has a certain form. I will explain one such method. If you want to try to rediscover it yourself, try to provably find all the integer solutions to y^2 = x^4 + 4x^3 - 2x^2 + 6x + 20.
*This week the seminar will be held at the Science Center North Lawn